Search a number
-
+
77388372 = 2234238853
BaseRepresentation
bin1001001110011…
…01101001010100
312101121201220000
410213031221110
5124302411442
611402411300
71626535035
oct447155124
9171551800
1077388372
113a758036
1221b00b30
1313057749
14a3c6a8c
156bd9d4c
hex49cda54

77388372 has 30 divisors (see below), whose sum is σ = 202309338. Its totient is φ = 25796016.

The previous prime is 77388371. The next prime is 77388379. The reversal of 77388372 is 27388377.

It can be written as a sum of positive squares in only one way, i.e., 40373316 + 37015056 = 6354^2 + 6084^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77388371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 119103 + ... + 119750.

Almost surely, 277388372 is an apocalyptic number.

It is an amenable number.

77388372 is an abundant number, since it is smaller than the sum of its proper divisors (124920966).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77388372 is a wasteful number, since it uses less digits than its factorization.

77388372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238869 (or 238858 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The square root of 77388372 is about 8797.0661018319. The cubic root of 77388372 is about 426.1461510037.

It can be divided in two parts, 7738 and 8372, that added together give a triangular number (16110 = T179).

The spelling of 77388372 in words is "seventy-seven million, three hundred eighty-eight thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 238853 477706 716559 955412 1433118 2149677 2866236 4299354 6449031 8598708 12898062 19347093 25796124 38694186 77388372